Answer:
The value of y is 14.
Step-by-step explanation:
Given,
Length of AB = [tex]7y-4[/tex]
Length of BC = [tex]4y-6[/tex]
Length of CD =[tex]8y-18[/tex]
Since ABCD is an isosceles trapezoid then according to property of trapezoid which is given below;
"In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length."
So Length of AB = Length of CD
[tex]7y-4 = 8y-18\\8y-7y=-4+18\\y= 14[/tex]
Hence the value of y is 14.
